Results 11 to 20 of about 34,241 (243)
The strong Fatou property of risk measures
Dependence Modeling, 2018 In this paper, we explore several Fatou-type properties of risk measures. The paper continues to reveal that the strong Fatou property,whichwas introduced in [19], seems to be most suitable to ensure nice dual representations of risk measures.
Chen Shengzhong +2 more
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Density of Analytic Polynomials in Abstract Hardy Spaces [PDF]
, 2017 Let $X$ be a separable Banach function space on the unit circle $\mathbb{T}$ and $H[X]$ be the abstract Hardy space built upon $X$. We show that the set of analytic polynomials is dense in $H[X]$ if the Hardy-Littlewood maximal operator is bounded on the
Karlovich, Alexei Yu.
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Optimal Regularity Properties of the Generalized Sobolev Spaces
Journal of Function Spaces and Applications, 2013 We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .
G. E. Karadzhov, Qaisar Mehmood
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Mixed norm spaces and rearrangement invariant estimates [PDF]
, 2014 Our main goal in this work is to further improve the mixed norm estimates due to Fournier, and also Algervik and Kolyada, to more general rearrangement invariant (r.i.) spaces.
Clavero, Nadia, Soria, Javier
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New classes of rearrangement-invariant spaces appearing in extreme cases of weak interpolation
Journal of Function Spaces and Applications, 2006 We study weak type interpolation for ultrasymmetric spaces L?,E i.e., having the norm ??(t)f*(t)?E˜, where ?(t) is any quasiconcave function and E˜ is arbitrary rearrangement-invariant space with respect to the measure dt/t. When spaces L?,E are not “too
Evgeniy Pustylnik, Teresa Signes
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Dynamical Rearrangement of Theta Parameter in Presence of Mixed Chern-Simons Term [PDF]
, 2008 We study the five-dimensional SU(3)_c x U(1)_C gauge theory on the orbifold S^1/Z_2 with a mixed Chern-Simons term. We particularly pay attention to the realization of the dynamical rearrangement of the theta parameter for SU(3)_c.
Haba, Naoyuki +2 more
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Banach algebra of the Fourier multipliers on weighted Banach function spaces
Concrete Operators, 2015 Let MX,w(ℝ) denote the algebra of the Fourier multipliers on a separable weighted Banach function space X(ℝ,w).We prove that if the Cauchy singular integral operator S is bounded on X(ℝ, w), thenMX,w(ℝ) is continuously embedded into L∞(ℝ).
Karlovich Alexei
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RUC systems in rearrangement invariant spaces [PDF]
Studia Mathematica, 2002 An RUC (randomly unconditionally converging) system in a Banach space \(X\) is a biorthogonal system \((x_j,x_j^\ast)\) in \(X\times X^\ast\) such that for every \(x\) in the closed linear span of the \(x_n\), the series \(\sum\limits_{j=1}^\infty r_j(t)x_j^\ast(x)x_j\) converges for almost all \(t\in[0,1]\), where \(\{r_n\}_{n=1}^\infty\) denotes the ...
Dodds, P. G. +2 more
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About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system
International Journal of Mathematics and Mathematical Sciences, 2001 The Rademacher series in rearrangement invariant function spaces close to the space L∞ are considered. In terms of interpolation theory of operators, a correspondence between such spaces and spaces of coefficients generated by them is stated.
Sergey V. Astashkin
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Lebesgue's Differentiation Theorems in R.I. Quasi-Banach Spaces and Lorentz Spaces Γp,w
Journal of Function Spaces and Applications, 2012 The paper is devoted to investigation of new Lebesgue's type differentiation theorems (LDT) in rearrangement invariant (r.i.) quasi-Banach spaces E and in particular on Lorentz spaces Γp,w={f:∫(f ...
Maciej Ciesielski, Anna Kamińska
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